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Macaulay brackets

Notation used to describe discontinuous functions

Macaulay brackets are a notation used to describe the ramp function { x } = { 0 , x < 0 x , x ≥ 0. {\displaystyle \{x\}={\begin{cases}0,&x<0\\x,&x\geq 0.\end{cases}}} A popular alternative transcription uses angle brackets, viz. ⟨ x ⟩ {\displaystyle \langle x\rangle } . Another commonly used notation is x {\displaystyle x} + or ( x ) {\displaystyle (x)} + for the positive part of x {\displaystyle x} , which avoids conflicts with { . . . } {\displaystyle \{...\}} for set notation.

Nº Q1479850 ★

Common · Knowledge

Macaulay brackets

Notation used to describe discontinuous functions

Macaulay brackets are a notation used to describe the ramp function { x } = { 0 , x < 0 x , x ≥ 0. {\displaystyle \{x\}={\begin{cases}0,&x<0\\x,&x\geq 0.\end{cases}}} A popular alternative transcription uses angle brackets, viz. ⟨ x ⟩ {\displaystyle \langle x\rangle } . Another commonly used notation is x {\displaystyle x} + or ( x ) {\displaystyle (x)} + for the positive part of x {\displaystyle x} , which avoids conflicts with { . . . } {\displaystyle \{...\}} for set notation.

From Wikipedia

Macaulay brackets are a notation used to describe the ramp function { x } = { 0 , x < 0 x , x ≥ 0. {\displaystyle \{x\}={\begin{cases}0,&x<0\\x,&x\geq 0.\end{cases}}} A popular alternative transcription uses angle brackets, viz. ⟨ x ⟩ {\displaystyle \langle x\rangle } . Another commonly used notation is x {\displaystyle x} + or ( x ) {\displaystyle (x)} + for the positive part of x {\displaystyle x} , which avoids conflicts with { . . . } {\displaystyle \{...\}} for set notation.

Text: Wikipédia, CC BY-SA 4.0. ·

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